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Finding the Fourth Proportional to 319,698,980.70, 479,548,471.05 and 319,698,980.70

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Solution

The fourth proportional to 319,698,980.70, 479,548,471.05 and 319,698,980.70 is: 479,548,471.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,698,980.70 : 479,548,471.05 = 319,698,980.70 : x
  2. Step 2: Convert to fraction form
    319,698,980.70/479,548,471.05 = 319,698,980.70/x
  3. Step 3: Cross multiply
    319,698,980.70x = 479,548,471.05 × 319,698,980.70
  4. Step 4: Simplify right side
    319,698,980.70x = 153,311,157,390,928,448
  5. Step 5: Solve for x
    x = 153,311,157,390,928,448/319,698,980.70
  6. Step 6: Final answer
    x = 479,548,471.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.